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Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making

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  • Harish Garg
  • Rishu Arora

Abstract

Intuitionistic fuzzy soft set (IFSS) theory is one of the successful extensions of soft set theory for handling the uncertainty in the data by introducing the parametrisation factor during the decision-making process as compared to the existing theories. Under this IFSS environment, the present paper developed some new Bonferroni mean(BM) and weighted BM averaging operator for aggregating the different preferences of the decision-maker. Some of its desirable properties have also been discussed in details. Further, a decision-making method based on proposed operators has been presented and then illustrated with a numerical example. A comparison analysis between the proposed and the existing measures under IFSS environment has been performed in terms of counter-intuitive cases for showing the validity of it.

Suggested Citation

  • Harish Garg & Rishu Arora, 2018. "Bonferroni mean aggregation operators under intuitionistic fuzzy soft set environment and their applications to decision-making," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 69(11), pages 1711-1724, November.
    • Handle: RePEc:taf:tjorxx:v:69:y:2018:i:11:p:1711-1724
    DOI: 10.1080/01605682.2017.1409159
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    Cited by:

    1. Yuchu Qin & Qunfen Qi & Paul J Scott & Xiangqian Jiang, 2019. "Multi-criteria group decision making based on Archimedean power partitioned Muirhead mean operators of q-rung orthopair fuzzy numbers," PLOS ONE, Public Library of Science, vol. 14(9), pages 1-35, September.
    2. Majed Albaity & Tahir Mahmood & Zeeshan Ali, 2023. "Impact of Machine Learning and Artificial Intelligence in Business Based on Intuitionistic Fuzzy Soft WASPAS Method," Mathematics, MDPI, vol. 11(6), pages 1-21, March.
    3. Chao Tian & Juan Juan Peng, 2020. "A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator," Mathematics, MDPI, vol. 8(7), pages 1-17, June.
    4. Huiping Chen & Yan Liu, 2024. "Group Decision-Making Method with Incomplete Intuitionistic Fuzzy Soft Information for Medical Diagnosis Model," Mathematics, MDPI, vol. 12(12), pages 1-26, June.
    5. Zeeshan Ali & Tahir Mahmood & Muhammad Aslam & Ronnason Chinram, 2021. "Another View of Complex Intuitionistic Fuzzy Soft Sets Based on Prioritized Aggregation Operators and Their Applications to Multiattribute Decision Making," Mathematics, MDPI, vol. 9(16), pages 1-29, August.

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